Technical Field
[0001] The invention relates to electric conductors, in particular to those having low and
ultralow resistance values within an extended range of operational temperatures, i.e.
superconductors.
Background Art
[0002] At present, classic electric conductors are widely known made of such chemical elements
as copper, gold, silver, platinum, magnesium, aluminium, ferrum etc.
Such conductors are operable under normal high-temperature conditions (at 273 K and
higher), however, their essential drawback consists in a high resistance to the passage
of electrical current, in particular the resistivity level of classic conductors is
from 1.55 · 10
-6 to 1.12 · 10
-6 Ω-m (at 293 K). High values of resistance, wide spread and instability of values
between specimens in actual practice are responsible for considerable electric power
losses in circuits using said classic conductors.
[0003] In order to reduce and stabilize the resistance, superconducting materials may be
for instance used, featuring stepwise abnormal drop, stabilization and elimination
of the spread in resistance values essentially to zero under certain conditions.
[0004] Accordingly, since the time when the superconductivity effect of mercury at ultralow
temperatures was discovered in 1911 by H. Kamerlingh Onnes and so far, this phenomenon
has been many times recorded experimentally and based theoretically, and also substantially
for materials cooled to ultralow temperatures from 0 to 77 K [
Ginsburg V.L. /Superconductivity: the Day before Yesterday, Yesterday, Today, and
Tomorrow //Advances in Physical Science, 2000, Volume 170, No. 6, pages 619-630;
Yugai K.N. /Interaction between High-Power Pulsed Laser Radiation and the Surface
of Ceramic YBCO Target //Encyclopedia of Koreans of Russia, Moscow, Russian Academy
of Sciences, 2003, pages 535-541]. Low-temperature conditions of these phenomena prevent from using the same under
normal high-temperature conditions, for example, at 293 K and higher.
[0005] Since that time, the main efforts to attain superconductivity have been focused on
varying the experimental temperature. Having failed to discover this phenomenon in
a number of classic conducting materials, for example, copper, silver, gold, platinum,
etc., researchers focused their efforts on modifying the chemical structure and creating
of new materials which provide the effect of reducing the resistance to zero under
high-temperature conditions. Overwhelmingly, no superconducting state under high-temperature
conditions at the temperature of T>273 K or at least stable reproduction of the superconductivity
effect have been achieved by the researchers in the past century. [
Ginsburg V.L. /Superconductivity: the Day before Yesterday, Yesterday, Today, and
Tomorrow. //Advances in Physical Science. 2000, Volume 170, No. 6, pages 619-630].
[0006] As used herein, the term "superconductor" applies to conductors with essentially
zero value of electrical resistance while the conduction, i.e. the reciprocal value
of resistance has an infinitely large value. In the absence of magnetic filed inside
the conductor, it is referred to as a second-kind superconductor.
[0007] As used hereinafter, the term "ultralow resistance", conventionally applies to the
values of resistance fairly close to zero, the resistance being at least several orders
of magnitude lower that that of the classic conductors.
[0008] Ultralow values of electrical resistance, along with the zero value may be equally
well used in the state-of-the-art technology, industry and electronics.
[0009] From the patent literature, superconducting materials are known made from films based
on CuO
1-x [
Azzoni C.B., Paravicini G.B., Samoggia G, et al., Electrical Instability in CuO1-x:
Possible Correlations with the CuO-based High Temperature Superconductors.//Z. Naturforsch.
1990. Volume 45a, pages 790-794] and Y-Ba-Cu-O [
Schonberger R., Otto H.H., Brunner B., Renk K.F., Evidence for Filamentary Superconductivity
up to 220 K in Oriented Multiphase Y-Ba-CuO Films //Phisica C 1991. V. 173. P. 159-162], enriched with copper, with a stepwise abnormal drop of electrical resistance to
zero (or superconductivity) being observed within the temperature range of 180-220
K.
[0010] The drawback of these conductors consists in instability of electrical resistance
over time, non-reproductivity from specimen to specimen as well as disappearance of
the effect after a number of temperature measurement cycles within the temperature
range under study (so called "irreproducible superconductivity", "stray superconductivity").
[0011] Also, known is a superconducting material made of copper films with a thickness of
0.4 µm applied by thermal evaporation on natural faces of CuO crystal as a substrate
[
Ossipov V.V., Samokhvalov A.A. /Giant Electroconductivity Anomalies at CuO-Cu Interface.
// Physics of Metals and Metal Science, 2000, Volume 89, No. 5, pages 43-46]. A wide experimental spread was observed in such conductor within the temperature
range of from 73 K to 420 K: the electrical resistivity value of some specimens was
two and more orders of magnitude lower varying from the normal value of 1.55-10
-6 Ω-m to 7.8-10
-11 Ω-m. Moreover, after electrothermal annealing of this material at 300-400°C and higher,
a drastically abnormal drop of resistance from several to 150,000 times was recorded
in some specimens (due to emergence of additional ultralow conductivity zones or clusters
at CuO-Cu interface). Therefore, along with a drastic drop of resistance in such conducting
material [
Ossipov V.V., Samokhvalov A.A. /Giant Electroconductivity Anomalies at CuO-Cu Interface.
//Physics of Metals and Metal Science, 2000, Volume 89, No. 5, pages 43-46], enormous experimental spread and instability of resistance values was observed
varying from normal values for certain specimens of copper (with the resistivity of
1.55-10
-8 Ω-m) to essentially zero value for other specimens. The enormous experimental spread
in resistance values of the material specimens proposed in [
Ossipov V.V., Samokhvalov A.A. /Giant Electroconductivity Anomalies at CuO-Cu Interface.
//Physics of Metals and Metal Science, 2000, Volume 89, No. 5, pages 43-46] is indicative of stochasticity and "stray" type of the observed effect. The disadvantage
of such kind of conductors consists in enormous spread and stochasticity, and as consequence
the "stray" type of the zero resistance which prevented from using the same in the
prior art.
[0013] The prior art closest to the claimed invention is a multilayer material on a substrate
comprising a combination of layers, which combination forms a charge integrator providing
a superconducting zone with CuO
2 and a number of superimposed monomolecular film layers of a material selected from
the group consisting of bismuth (Bi), mercury (Hg), thallium (TI) and copper (Cu),
said charge integrator and superconducting zone abutting on each other within a compact
layer assembly,
characterized in that the number of layers is an integer not less than 4, and the interlining material
layers have the chemical formula Ca
1-xM
x, etc. [RU 2 131 157, 25 C1, 27.05.1999]. The drawback of this multilayer material
consists first of all in its structural and manufacturing complexity, relatively low
critical temperature value being of 250 K. In other words, in order to take on the
superconductivity property, the material should be cooled down to 250 K which requires
high operating costs, involves technical difficulties and narrows the application
field of such material. Furthermore, due to the complex structure of such material,
high-technology expensive equipment which gained no acceptance in the industry is
required for producing the same making the cost of such material considerably higher
along with impairing its manufacturability.
Disclosure of the Invention
[0014] It is an object of the present invention to provide conductors having a low and ultralow
resistance value within a wide temperature range from ultralow temperatures of up
to 420 K and higher, and characterized by an improved manufacturability compared to
the prior art solutions.
[0015] According to a first aspect of the invention said object is achieved by a method
for the production of an electric conductor, said method comprising performing M series
of measurements of the electrical resistance of the current-conducting elements, wherein
M is a natural number, said current-conducting elements in each i-nth series (i=1..M)
belong to a single type and their number is equal to N
l, taking the j-nth sample of Nj single-type elements based on the measurement results,
wherein said sample is defined by the least resistance value among all elements tested,
and then connecting in parallel R>Nj of the current-conducting elements each having
a length of L<I
j where I
j is a length of the elements in the j-nth sample.
[0016] Preferably, the current-conducting elements comprise films or fibers of a current-conducting
material.
[0017] Preferably, the value of N
i for each i=1..M is not less than 100.
[0018] According to second aspect of the invention said object is also achieved by providing
an electric conductor which comprises R single-type current-conducting elements of
the length L connected in parallel, wherein R>Nj and Nj is the number of elements
in the j-nth sample taken based on the results of performing M series of measurements
of the electrical resistance of the current-conducting elements, M is a natural number,
said current-conducting elements in each i-nth series (i=1..M) belong to a single
type, said j-nth series is taken based on the presence therein of a current-conducting
element with the least resistance, and L<I
j, where I
j is the length of the elements in the j-nth sample.
[0019] Preferably, the current-conducting elements comprise films or fibers of a current-conducting
material.
[0020] Preferably, the value of Ni for each i=1..M is not less than 100.
[0021] The object and the effect of the present invention are achieved based on the use
of the principle of temperature-time, scale and power equivalency (further referred
to as the TTE principle) in combination with statistical methods first established
and developed by the inventors.
[0022] The TTE principle consists in that the exposure of a specimen to a temperature, rescaling,
power (current) load or frequency (or being the same, to a dwell time) results in
equivalent changes of the specimen structure-sensitive physical characteristics. According
to the TTE principle it makes no difference whether a specimen (conductor in this
case) is exposed to a temperature, load, frequency or change of its scale. When a
specimen is exposed to said factors separately or alternately, the same equivalent
result is obtained so that the researcher may obtain identical information about the
specimen structure and properties. Accordingly, zero and ultralow resistance may be
obtained by exposure (changing) not only to a temperature but also by changing the
scale, current load or frequency acting on the conductor (so long as a certain parameter,
for example, temperature is constant, i.e. T=const).
[0023] Abundant evidence from the patent literature summarized in [
Ginsburg V.L. /Superconductivity: the Day before Yesterday, Yesterday, Today, and
Tomorrow. //Advances in Physical Science 2000, Volume 170, No. 6, pages 619-630] and also proved by our experiments made it possible to establish with all certainty
that "stray" high-temperature superconducting zones (or clusters) further referred
herein as SCZ are produced or formed by some means or other in non-superconducting
materials (conductors). As a rule, SCZs comprise oxides or protoxides of various chemical
elements of which the conductor material is made. In particular, local areas with
SCZs chaotically and statistically at random positioned therein have been found in
the prior art conductors made of various materials, for example, cuprates. At the
same time, regularities of their behaviour have been unclear so far. [
Ginsburg V.L. / Superconductivity: the Day before Yesterday, Yesterday, Today, and
Tomorrow. //Advances in Physical Science. 2000, Volume 170, No. 6, pages 619-630,
Azzoni CB., Paravicini G.B., Samoggia G, et al. Electrical Instability in CuOI-x:
Possible Correlations with the CuO-based High Temperature Superconductors.//Z. Naturforsch.
1990. Volume 45a, pages 790-794.
Schonberger R., Otto H.H., Brunner B., Renk K.F. Evidence for Filamentary Superconductivity
up to 220 K in Oriented Multiphase Y-Ba-CuO Films//Phisica C 1991. Volume 173, pages
159-162,
Ossipov V.V., Samokhvalov A.A. /Giant Electroconductivity Anomalies at CuO-Cu Interface.
// Physics of Metals and Metal Science. 2000, Volume 89, No. 5, pages 43-46].
[0024] It is this statistically random positioning of SCZs that resulted in the manifestation
of the "stray" or "irreproducible" superconductivity effect. No methods of finding
and eliminating the "stray" effects are known in the art.
[0025] According to the claimed invention conventional classic conductors, for example,
made of copper, aluminium or silver or other non-superconducting materials including
semiconductors with n and p conduction are used for achieving the technical effect.
Since the lateral dimensions of SCZs are not clear and SCZs are randomly located at
the conductor surface or within the conductor volume, they can be only found and measured
by statistical methods. Therefore, the problem reduces to finding statistically and
determining the lateral dimensions of SCZs for each particular conductor. To this
end, variational series of the measured resistance values according to n sequence
numbers in increasing order of specimen numbers (1, 2, 3, ... n) are defined based
on statistical samples (or series) consisting of the measurement data of Ni single-type
(identical) conductor specimens in each series (i, Ni are natural numbers). In practice,
in order to obtain guaranteed and reproducible results the number of Ni should not
be less that 100. Variational diagrams or series, or distribution curves are plotted
for various geometric dimensions of the specimens, in other words, the relationship
is considered between the electrical resistance values in each series (sample) and
the scale factor of the conductor specimens. The series or sample comprising at least
one specimen with the resistance value equal or close to zero is detected on the variational
diagrams or distribution functions corresponding, for example, to various lengths.
[0026] It is the thus determined specimen scale providing for detection of least one zero-resistance
specimen in the j-nth statistical sample (series) of Nj current-conducting elements
that will correspond to the SCZ or cluster lateral dimension. Then, the j-nth series
(sample) comprising an SCZ and having zero resistance value providing for detection
of this specimen, or a set of R current-conducting elements of the same type as specimens
of the j-nth series (i.e., having the same dimensions - length, width, thickness,
made of the same material and by the same method), where R>Nj, is stacked or bunched
into a parallel electric circuit with two opposing current electrodes. If the resistance
of at least one element in such statistical bunch is equal or close to zero, the entire
multiple-element bunch will be superconducting.
[0027] It appeared in practice that for copper and silver wire the statistically determined
lateral dimension of SCZ is less than 4000 µm. The entire statistical sample comprising
the zero-resistance specimen is stacked (for film-based specimens) or bunched (for
wire-based specimens) with two opposing current electrodes being attached to the ends
of stacks or bunches.
[0028] In the experiments carried out by the inventors, wherein the specimen scale was reduced
to the lateral dimension of the superconducting zone (SCZ), the zones themselves were
included in the common parallel circuit as a circuit element between the two opposing
current electrodes to become the intrinsic structural-statistical electrical characteristic
of the specimen. Since the superconducting zones are of stochastic nature, they can
only be detected statistically. Therefore, the inventors have studied the experimental
statistical functions of electrical resistance distribution based on the data of at
least 100 identical (single-type) tested specimens in each series (sample). Dealing
with stochastic values, embodiments of the superconductor are possible, wherein a
SCZ may also appear in a sample with N<100.
[0029] Therefore, each tested specimen series or sample comprising single-type and separate
conductor specimens differs from each other in the linear dimensions of the specimens
and, in a general case, may also differ in the number of current-conducting elements
in the sample. The thickness of the wire specimens used by the inventors in the experiments
varied from 2000 µm to 50 µm and less, and that of the film specimens - from 200 µm
to 0.3 µm. At the same time, as already noted, at least 100 specimens have to be measured
to obtain guaranteed, reliable and reproducible measurements of resistance R and inductance
L. With N<100, the reproductivity, reliability and fidelity decrease, and the probability
becomes less that 1, i.e., there is no 100% guarantee of obtaining the electric conductor
with low and ultralow resistance values or zero resistance value (i.e. superconductor).
In actual practice, conductors with the resistance close to or differing from zero,
for example, one or two orders of magnitude may be required rather than non-zero resistance
conductors, which is the case of various electronic circuits and equipment.
[0030] As shown by the experiments carried out, if the effective length, for example, of
the copper specimens in a series of at least 100 tested specimens is reduced to less
that 4000 µm, enormous experimental spread is detected. A number of resistance values
close to zero are present in such series or sample of specimens, at least one or more
conductors among them having zero resistance values, R=0 and zero inductance values,
Li=0. Zero inductance value is indicative of the absence of magnetic field within
these superconductor specimens, i.e., of belonging the same to the second-kind superconductors
[
Ginsburg V.L. /Superconductivity: the Day before Yesterday, Yesterday, Today, and
Tomorrow. //Advances in Physical Science. 2000, Volume 170, No. 6, pages 619-630]. For silver conductors, the same rule applies to the minimum length providing for
detection of at least one zero-resistance specimen in a series: the specimen size
providing for manifestation of zero resistance in a statistical is less than 3000
µm.
[0031] The experiments have shown that as the conductor scale is reduced, enormous experimental
spread in resistance values is observed varying from zero value to the normal value
of 1.55-10
-8 Ω-m and higher. The enormous experimental spread is caused by the presence in the
series of conductors both of superconducting specimens (specimens with superconducting
cluster zones) and non-superconducting conductors with various resistance values associated
with various types of defects present in the material structure. [
Tsoi B., Kartashov E.M. and Shevelev V.V., THE STATISTICAL NATURE AND LIFETIME IN
POLYMERS AND FIBERS. Utrecht-Boston. Brill Academic Publishers/VSP, 2004, 522 pages;
Kartashov E.M., Tsoi B., Shevelev V.V., The Structural and Statistical Kinetics of
Polymer Destruction. Moscow, Khimia Publishers, 2002, 736 pages]. Defects may comprise structural discontinuities, crystal lattice imperfections,
impurities, inclusions, microdiscontinuities, dislocations, etc. The full range of
structural defects (major and minor) influencing conductor's physical, in particular
electrical characteristics is present in massive conductor specimens, and the presence
of superconducting zones does not affect its conduction because they are separated
and not linked into a single electric circuit and are thus masked and not revealed.
Accordingly, substantially no experimental spread in resistance values is observed
in massive conductors. No gross structural defects influencing conduction are present
in the small-sized conductors (they cannot be present due to a large size of defects,
for example, exceeding the specimen size), and the full range of small structural
defects influencing conduction is revealed, including also the superconducting zones,
so that considerable resistance spread is observed. The less is the conductor size,
the greater will be the experimental resistance spread (see "Experimental Evidence"
section). Therefore, both arbitrarily low and arbitrarily high resistance values corresponding
to conventional reference data will be observed in the series of short-length conductors.
Hence, ultralow resistance values are associated both with the presence of superconducting
zones in the material and the experimental spread caused by scaling and statistical,
thermofluctuational and relaxational nature of the experimental data spread. [Tsoi
B., About Three Scientific Discoveries Associated with the Discreteness Phenomenon,
Moscow, Mir-Khimia Publishers, 2004, 208 pages]. Since in our experiments with copper
and silver wire, zero resistance was observed in a series of conductors with the specimen
length less than 4000 µm, these values do correspond to the lateral dimensions of
superconducting zones (or clusters) many times revealed by the researchers in the
past century [
Ginsburg V.L. /Superconductivity: the Day before Yesterday, Yesterday, Today, and
Tomorrow. //Advances in Physical Science. 2000, Volume 170, No. 6, pages 619-630] and statistically revealed and measured by the present inventors.
[0032] Now that the lateral dimension of the superconducting oxide zone is known, for example,
for cuprates, as being less than 4 mm, one may without fail produce the superconducting
material. To this effect, a series of at least 100 separate and identical conductors
with a thin oxide layer (formed either naturally due to interaction between the conductor
surface with atmospheric oxygen or artificially using oxidizing by any known technique,
for example, annealing) should be taken and combined into a multiple-element bunch
or multilayer stack, i.e., a parallel electric circuit of N>100 constituent elements
or layers with two opposing current electrode attached thereto.
[0033] As used herein, the term "single-type" means identical, produced in a single-type
(same) manner, under the same operating conditions, having the same mass, dimensions,
form, etc. The term "separate" means isolation and apartness of each specimen element
within a statistical sample. By connecting the ends of these elements to the two opposing
current electrodes a parallel electric circuit is formed, wherein when an electric
potential is applied to said current electrodes the current will flow through the
least resistance whose total value in such parallel circuit will be less than that
of the least one.
[0034] Dealing with statistical distributions having stochastic nature, accidental practical
realizations of the zero-resistance superconductor are possible where a stack is sufficient
comprising N>1 but less than 100 separate single-type conductor elements comprising
oxide or protoxide layers and whose working part length between the two current electrodes
is less than 3000-4000 µm. Of course, the probability of realization of such superconductor
will be less than 1.
[0035] In order to realize a conductor with the resistance value close to zero (a value,
for example, several orders of magnitude lower than conventional reference values)
rather than equal to zero, a stack will suffice composed of N>1 but less than 100
separate single-type conductor elements comprising oxide or protoxide layers and whose
working part length between the two current electrodes is less than 3000-4000 µm.
[0036] The following definitions are further given herein to enable unique interpretation
of the technical effects. According to the prior art [Tsoi B., Lavrentiev V.V. /Material
for Components of Radioelectronic Devices,
RU 2 284 267, priority date: 10.11.2004; Tsoi B., Lavrentiev V.V. Kartashov E.M., Shevelev V.V. / Electroinsulating Material,
RU 2 284 593, priority date: 26.10.2004; Tsoi B., Kartashov E.M., Shevelev V.V., Tsoi S.B. /Material for Protection against
Impact Actions //
RU 2005126360, priority date: 22.08.2005], a stack (bunch) should be understood as a multi-element statistical structure formed
of N>1 (where N is an integer) separate single-type finite current-conducting elements
arranged in parallel to each other (or one above the other) at the surface (edge)
and within the volume (or interval) of the same and combined into a bunch, i.e., a
parallel electric circuit using the two opposing current contacts or electrodes. Films
and fibers may comprise the elements of such statistical sample (i.e., stack or bunch).
If a stack (bunch) is composed of N films, such statistical sample has a plane-parallel
arrangement of films having superficial (edge) and intermediate (intra-volume) elements.
However, if a stack (bunch) is formed by combining N fibers, such statistical structure
will preferably have a linear-parallel arrangement of fiber elements at the surface
(edge) and/or within the volume (interval) of the same.
[0037] Changing of the scale according to the present invention allows lateral dimension
to be determined for the specimens of non-superconducting conductors, and the principle
of apartness of conductor specimens ensures parallelism of the electric circuit of
N separated isolated conductors between the two current electrodes to which the same
are attached, with at least one superconducting zone (of the specimen length size)
being included in the current circuit. The principle of the uniformity of type of
specimens should be observed for proper creation of a statistical sample in the form
of variational series and for detection therein of a specimen with a superconducting
zone (cluster).
[0038] In order to obtain without fail the superconducting material, a stack of at least
100 specimens should be formed, and to enhance the superconducting effect, linear
dimensions (thickness and length) should be reduced and the number of separate single-type
conductor layers should also be increased to a sufficiently large number. Reducing
of the specimen length to zero will lead to the resistance drop to zero. If the conductor
size is reduced to critical values comparable to the electric charge free-path length,
enormous experimental spread in the resistance values will be observed.
[0039] The probability of detecting a zero-resistance specimen in such statistical sample
will be very high even with no SCZs present in the specimens. Particularly, the probability
will increase as the specimen length is reduced to the size equal to the average free-path
length of charges, which is associated both with the presence and the absence of the
superconducting oxide zone, but first of all with the presence of scaling and statistical,
thermofluctuational and relaxational spread in the resistance values varying from
zero value to the conventional ones and the arbitrarily high one in such small-sized
conductors [
Tsoi B., Kartashov E.M. and Shevelev V.V., THE STATISTICAL NATURE AND LIFETIME IN
POLYMERS AND FIBERS, Utrecht-Boston, Brill Academic Publishers/VSP, 2004, 522 pages; Kartashov E.M., Tsoi B., Shevelev V.V., The Structural and Statistical Kinetics
of Polymer Destruction, Moscow, Khimia Publishers, 2002, 736 pages; Tsoi B., About
Three Scientific Discoveries Associated with the Discreteness Phenomenon, Moscow,
Mir-Khimia Publishers, 2004, 208 pages]. Therefore, if the conductor specimen length
in the statistical sample is reduced, for example, from 10 N>100 to sufficiently small
values, the probability of detecting a zero-resistance specimen will be rather high,
and even if rather than zero-resistance specimens only specimens with the resistance
close to zero are found in the sample, the total resistance in such parallel circuit
will be equal or close to zero. On the other hand, with an increase in N number of
elements, the probability of detecting a conductor with a superconducting cluster
in this statistical sample rises, and a rather large number of N small-sized conductors
(for instance, with a thickness equal to atomic or monomolecular size) helps to ensure
and increase the probability of obtaining a superconductor. For example, N may be
equal to 100, 1000, 10,000, 100,000, 1,000000, 10,000,000, etc. In this case, the
probability of obtaining a superconducting conductor will be very close or equal to
1, i.e., the conduction of such conductor, as N converges to infinitesimal values,
will converge to infinitesimal values according to the mathematical law of large numbers.
[0040] Therefore, the superconductivity phenomenon in multi-element bunches or multilayer
stacks is determined by the fact that when the typical sizes of elements (specimens)
are reduced to the sizes typical for lateral dimensions of the material superconducting
zones, some of the elements (specimens) will contain superconducting zones and some
will not. Then, if all elements are in parallel combined into a multi-element current-conducting
conductor (a bunch of wires or a stack in case of film) and its ends are attached
to the current electrodes, those element constituents that contain superconducting
zones will become directly included in the electric circuit with their superconducting
zones and will convert the entire multi-element conductor into a superconducting one.
The multi-element (clustered) nature of the structure is obligatory here, since it
allows the superconducting zones and the least-resistance zones to be without fail
included in said current-conducting system. Adherence to the scaling factor ensuring
direct inclusion of the superconducting zones or clusters (conductors) in the electric
circuit is also a mandatory requirement. In addition, the scaling factor provides
for a wide experimental data spread, i.e., availability in the series of both zero-resistance
specimens and those with an arbitrarily high one.
[0041] Therefore, in order to realize without fail the superconductivity effect, the length
of a wire conductor, for example, of copper or silver, should be in general not less
than 4 mm and the number of conductors N>100. However, due to stochasticity there
are cases wherein the superconductor could be realized with N<100.
[0042] In practice, in order to ensure that a superconductor or conductor with ultralow
resistance and superhigh decrease in the resistance spread of N conductors (ignoring
the thickness of current-conducting films and fibers) is implemented without fail,
two simple mathematical relationships have been proposed by the inventors.
[0043] Relationship 1 considers the presence of at least one specimen with SCZs in the statistical
sample, while relationship 2 - the absence of at least one superconducting element
in the sample:
- 1) in the presence of elements having SCZs:

where P is an experimentally determined portion of superconducting elements in their
sample of a number of elements prepared for the production a multi-element current-conducting
structure;
P0 is a confidence probability of the presence of at least one conductor with SCZs in
the multi-element current-conducting structure;
- 2) in the absence of conductors with SCZs:

where P is an experimentally determined portion of conductors with R≤Ro;
R0 is a lower resistance limit of the specimens whose portion is equal to P;
R3 is a required or predetermined stack resistance.
[0044] While the dimensions of the current-conducting elements are ignored in relationships
1 and 2, they are implicitly defined by these formulas in terms of resistance.
[0045] For various type of conductor materials of which a stack or a bunch is to be composed,
various linear dimensions of the constituent elements are available, and in any case,
the smaller is the conductor liner dimension and the greater is N, the better will
be manifested the conductor superconductivity effect. At the same time, it has been
found that the bunched conductor produced in the above manner will have no experimental
spread. And so, multilayer (or bunched conductors) will have stable high-accuracy
values without experimental spread in the resistance value or other physical characteristics.
[0046] Similar results, i.e. lowering of electrical resistance are obtained not only by
rescaling the conductor specimens but also by varying the current frequency or increasing
the current strength or voltage applied to the specimen. In particular, as the current
frequency increases, the resistance drastically drops due to the electrical current
flow over the surface of the conductor used in the art for power transportation and
transmission. If the load - current strength and voltage - increases (with the value
of temperature, scale and frequency being constant), the electrical resistance of
the material will also drastically drop to zero, i.e., the conductor becomes superconducting.
However, no field of application for this superconductivity effect can be practically
found at present due to its high cost.
[0047] It is the inventor's opinion that the most expedient is the superconductivity effect
and the resistance drop effect based on the above described structural and statistical
scaling factor as it does not require tremendous expenditure of energy.
Brief description of the drawings
[0048] The invention will be further explained in more detail by way of particular preferred
examples of its embodiments with reference to the attached drawing wherein:
- Fig. 1
- shows cumulative distribution curves of the electrical resistance values for copper
conductors of various lengths (N=1; length: 3 mm, 30 mm, 110 mm, 200 mm) and 120 µm
in thickness;
- Fig. 2
- shows cumulative distribution curves of the electrical resistance values for bunched
copper conductors whose number in the bunch is N=1, 4, 8 and 100 (i.e., each point
of the curve represents the measurement of the bunch or stack of 1, 4 and 8 specimens);
specimen length - 3 mm; thickness - 120 µm;
- Fig. 3
- shows cumulative distribution curves of the electrical resistance values for bunched
copper conductors whose number is N=1, 4, 8 and 100; specimen length - 3 mm; thickness
- 75 µm;
- Fig. 4
- shows the influence of N number of elements and frequency f on the cumulative curves
of resistance for a bunched copper conductor of 3 mm in length and 120 µm in thickness.
Preferred embodiment of the invention
[0049] The experimental statistical measurements of electrical resistance for copper and
silver conductors are provided in Tables 1-3 below.
[0050] Table 1 shows the characteristics of experimental spread in the electrical resistance
measurement data for specimens of the copper wire of 120 µm in thickness and of different
lengths.
Table 1.
Conductor length, I, mm |
Initial RH and final RK distribution function value, RH, RK, Ohm |
Distribution function deviation range, RV=RK-RH |
Experimental spread in resistance values, RV=RK x 100, % |
3 |
0.000000; 0.201000 |
0.20100 |
∞ |
30 |
0.049000; 0.149600 |
0.10060 |
205 |
110 |
0.167200; 0.194700 |
0.02750 |
2.75 |
200 |
0.311300; 0.325600 |
0.01430 |
1.43 |
[0051] As seen from Table 1, there is practically no spread in massive (long) specimens
of 200 mm in length: it amounts only to 1.43 % and the resistance value is from 0.311300
to 0,325600 Ohm. If the copper conductor length is reduced to 30 mm, the spread increases
to 205% and the resistance value amounts to 0.049000-0.149600 Ohm, i.e., not at all
a "copper value" which is at variance with reference data [Tsoi B., About Three Scientific
Discoveries Associated with the Discreteness Phenomenon, Moscow, Mir-Khimia Publishers,
2004, 208 pages].
[0052] In Table 2 below, distribution of the electrical resistance R and inductance L
l values for the copper wire of 120 µm in thickness and 3 mm in length is shown in
numerical order n.
Table 2
Specimen No., n |
R, Ohm |
Li, mH |
Specimen No., n |
R, Ohm |
Li, mH |
1 |
2 |
3 |
1 |
2 |
3 |
1 |
0.00000 |
0.00000 |
51 |
0.00320 |
0.00007 |
2 |
0.00000 |
0.00000 |
52 |
0.00330 |
0.00007 |
3 |
0.00010 |
0.00001 |
53 |
0.00330 |
0.00007 |
4 |
0.00020 |
0.00001 |
54 |
0.00330 |
0.00007 |
5 |
0.00030 |
0.00001 |
55 |
0.00330 |
0.00007 |
6 |
0.00040 |
0.00001 |
56 |
0.00340 |
0.00007 |
7 |
0.00050 |
0.00001 |
57 |
0.00340 |
0.00007 |
8 |
0.00070 |
0.00001 |
58 |
0.00340 |
0.00007 |
9 |
0.00080 |
0.00001 |
59 |
0.00360 |
0.00007 |
10 |
0.00080 |
0.00001 |
60 |
0.00360 |
0.00007 |
11 |
0.00090 |
0.00001 |
61 |
0.00360 |
0.00007 |
12 |
0.00090 |
0.00002 |
62 |
0.00370 |
0.00007 |
13 |
0.00100 |
0.00002 |
63 |
0.00380 |
0.00007 |
14 |
0.00100 |
0.00002 |
64 |
0.00380 |
0.00007 |
15 |
0.00100 |
0.00002 |
65 |
0.00390 |
0.00007 |
16 |
0.00110 |
0.00002 |
66 |
0.00390 |
0.00007 |
17 |
0.00110 |
0.00003 |
67 |
0.00410 |
0.00007 |
18 |
0.00120 |
0.00003 |
68 |
0.00420 |
0.00007 |
19 |
0.00120 |
0.00004 |
69 |
0.00430 |
0.00007 |
20 |
0.00130 |
0.00004 |
70 |
0.00440 |
0.00007 |
21 |
0.00130 |
0.00004 |
71 |
0.00460 |
0.00007 |
22 |
0.00130 |
0.00004 |
72 |
0.00600 |
0.00007 |
23 |
0.00140 |
0.00004 |
73 |
0.00610 |
0.00007 |
24 |
0.00140 |
0.00004 |
74 |
0.00690 |
0.00007 |
25 |
0.00150 |
0.00004 |
75 |
0.00700 |
0.00007 |
26 |
0.00170 |
0.00004 |
76 |
0.00730 |
0.00007 |
27 |
0.00170 |
0.00004 |
77 |
0.00780 |
0.00007 |
28 |
0.00190 |
0.00004 |
78 |
0.00780 |
0.00007 |
29 |
0.00190 |
0.00004 |
79 |
0.00800 |
0.00008 |
30 |
0.00220 |
0.00004 |
80 |
0.00890 |
0.00008 |
31 |
0.00220 |
0.00004 |
81 |
0.00970 |
0.00008 |
32 |
0.00220 |
0.00004 |
82 |
0.01030 |
0.00008 |
33 |
0.00230 |
0.00004 |
83 |
0.01120 |
0.00008 |
34 |
0.00240 |
0.00005 |
84 |
0.01330 |
0.00008 |
35 |
0.00240 |
0.00005 |
85 |
0.01420 |
0.00008 |
36 |
0.00250 |
0.00005 |
86 |
0.01450 |
0.00008 |
37 |
0.00250 |
0.00005 |
87 |
0.01800 |
0.00008 |
38 |
0.00260 |
0.00005 |
88 |
0.01880 |
0.00008 |
39 |
0.00260 |
0.00006 |
89 |
0.02090 |
0.00008 |
40 |
0.00260 |
0.00006 |
90 |
0.02340 |
0.00008 |
41 |
0.00260 |
0.00006 |
91 |
0.02410 |
0.00008 |
42 |
0.00270 |
0.00006 |
92 |
0.03390 |
0.00008 |
43 |
0.00280 |
0.00006 |
93 |
0.03860 |
0.00008 |
44 |
0.00290 |
0.00006 |
94 |
0.04680 |
0.00009 |
45 |
0.00290 |
0.00006 |
95 |
0.05470 |
0.00009 |
46 |
0.00290 |
0.00007 |
96 |
0.05560 |
0.00010 |
47 |
0.00300 |
0.00007 |
97 |
0.10550 |
0.00010 |
48 |
0.00300 |
0.00007 |
98 |
0.11830 |
0.00010 |
49 |
0.00300 |
0.00007 |
99 |
0.12120 |
0.00212 |
50 |
0.00320 |
0.00007 |
100 |
0.20100 |
0.00538 |
[0053] In Table 3, distribution of the electrical resistance R and inductance L
l values for the silver wire of 100 µm in thickness and 3 mm in length is shown in
numerical order n.
Table 3
Specimen No., n |
R, Ohm |
Li, mH |
Specimen No., n |
R, Ohm |
Ll, mH |
1 |
|
2 3 |
1 |
2 |
3 |
1 |
0.00000 |
0.00000 |
56 |
0.01082 |
0.00006 |
2 |
0.00031 |
0.00001 |
57 |
0.01082 |
0.00006 |
3 |
0.00164 |
0.00002 |
58 |
0.01083 |
0.00006 |
4 |
0.00181 |
0.00003 |
59 |
0.01083 |
0.00006 |
5 |
0.00993 |
0.00004 |
60 |
0.01086 |
0.00006 |
6 |
0.00993 |
0.00004 |
61 |
0.01087 |
0.00006 |
7 |
0.00996 |
0.00004 |
62 |
0.01089 |
0.00006 |
8 |
0.00998 |
0.00004 |
63 |
0.01089 |
0.00006 |
9 |
0.00998 |
0.00005 |
64 |
0.01093 |
0.00006 |
10 |
0.00998 |
0.00005 |
65 |
0.01095 |
0.00006 |
11 |
0.00999 |
0.00005 |
66 |
0.01096 |
0.00006 |
12 |
0.01 |
0.00005 |
67 |
0.01101 |
0.00006 |
13 |
0.01 |
0.00005 |
68 |
0.01102 |
0.00006 |
14 |
0.01002 |
0.00005 |
69 |
0.01102 |
0.00006 |
15 |
0.01004 |
0.00005 |
70 |
0.01106 |
0.00006 |
16 |
0.01004 |
0.00005 |
71 |
0.01113 |
0.00006 |
17 |
0.01005 |
0.00005 |
72 |
0.01113 |
0.00006 |
18 |
0.01011 |
0.00005 |
73 |
0.01116 |
0.00006 |
19 |
0.01021 |
0.00005 |
74 |
0.01118 |
0.00006 |
20 |
0.01021 |
0.00005 |
75 |
0.01128 |
0.00006 |
21 |
0.01021 |
0.00005 |
76 |
0.0113 |
0.00006 |
22 |
0.01023 |
0.00005 |
77 |
0.01132 |
0.00006 |
23 |
0.01025 |
0.00005 |
78 |
0.01134 |
0.00006 |
24 |
0.01031 |
0.00005 |
79 |
0.01137 |
0.00006 |
25 |
0.01033 |
0.00005 |
80 |
0.01138 |
0.00006 |
26 |
0.01035 |
0.00005 |
81 |
0.0114 |
0.00006 |
27 |
0.01036 |
0.00005 |
82 |
0.01142 |
0.00006 |
28 |
0.01037 |
0.00005 |
83 |
0.01146 |
0.00006 |
29 |
0.01042 |
0.00005 |
84 |
0.01146 |
0.00006 |
30 |
0.01043 |
0.00005 |
85 |
0.01147 |
0.00006 |
31 |
0.00933 |
0.00005 |
86 |
0.01153 |
0.00006 |
32 |
0.00951 |
0.00005 |
87 |
0.01161 |
0.00006 |
33 |
0.00964 |
0.00005 |
88 |
0.01161 |
0.00006 |
34 |
0.00981 |
0.00005 |
89 |
0.01163 |
0.00006 |
35 |
0.00993 |
0.00005 |
90 |
0.01168 |
0.00006 |
36 |
0.01043 |
0.00005 |
91 |
0.0117 |
0.00006 |
37 |
0.01049 |
0.00005 |
92 |
0.01175 |
0.00006 |
38 |
0.01049 |
0.00005 |
93 |
0.01187 |
0.00006 |
39 |
0.0105 |
0.00005 |
94 |
0.01192 |
0.00006 |
40 |
0.01053 |
0.00005 |
95 |
0.01198 |
0.00006 |
41 |
0.01054 |
0.00005 |
96 |
0.01201 |
0.00006 |
42 |
0.01054 |
0.00006 |
97 |
0.01201 |
0.00006 |
43 |
0.01056 |
0.00006 |
98 |
0.01206 |
0.00007 |
44 |
0.01057 |
0.00006 |
99 |
0.01217 |
0.00007 |
45 |
0.0106 |
0.00006 |
100 |
0.01227 |
0.00007 |
46 |
0.01064 |
0.00006 |
101 |
0.01242 |
0.00007 |
47 |
0.01064 |
0.00006 |
102 |
0.01252 |
0.00007 |
48 |
0.01067 |
0.00006 |
103 |
0.01264 |
0.00007 |
49 |
0.01067 |
0.00006 |
104 |
0.01274 |
0.00007 |
50 |
0.01068 |
0.00006 |
105 |
0.01721 |
0.00007 |
51 |
0.01069 |
0.00006 |
|
|
|
52 |
0.01076 |
0.00006 |
|
|
|
53 |
0.01077 |
0.00006 |
|
|
|
54 |
0.0108 |
0.00006 |
|
|
|
55 |
0.01082 |
0.00006 |
|
|
|
[0054] It can be seen from Tables 2, 3 that with further reduction of the conductor length
to 3 mm, the spread in the resistance values increases infinitely, while the resistance
drastically drops to zero. Measurements of the inductance L have shown similar behavior
of the spread in its values. As the resistance drops to zero, the inductance also
drops to zero, i.e., no magnetic field is present within such conductor.
[0055] Fig. 1 shows variational diagrams or cumulative distribution curves of electrical
resistance for copper conductors of different lengths. It can be seen from this data
that at least one of 100 tested specimens of the copper and silver wire has a zero-resistance
value. As can be seen from the Tables, zero-resistance values are matched by zero-inductance
values, which is indicative of the absence of the magnetic field within such conductora.
In addition, a number of specimens whose working part is of 3 mm in length have the
values sufficiently close to zero. No zero values or values close to zero are observed
for long lengths (the spread being insignificant, see also Tables 1 and 2).
[0056] If now the specimens whose length corresponds to 3 mm (see Fig.1) are bunched, stacked,
i.e., formed into a parallel circuit of N=4, 8 and 100 specimens (Fig. 2) and the
opposing current electrodes are attached thereto, the total resistance of such multilayer
conductors will drastically drop. If such bunch consists of 4 or 8 specimens, there
will be a small number of zero-resistance specimens in the series of tested specimens.
At the same time, despite a drastic drop of the total resistance, it however has not
reached the zero value. That is, not all the conductors of a given statistical sample
of bunches consisting of N=4 and 8 conductors would reach superconductivity. If each
bunch is composed of 100 specimens, all bunches will without fail have zero resistances
(fig.2). Similar data have been obtained for conductors having the length of 3 mm
and the thickness of 75 µm (see Fig. 3).
[0057] As shown by the measurements of current voltage characteristics, the thus produced
bunched conductors are able to withstand considerable current loads. While according
to reference data conventional copper only withstands the current of 5 A/mm, the inventive
bunch of four 120-micron copper wires withstands over 1000 A/mm.
[0058] The research of influence of the acting current frequency at which the electric current
resistance is measured has proved the principle of temperature-time, scale and power
equivalency (TTE) discovered by the present inventors. Thus, it can be seen in Fig.
4 that with an increase in the frequency f the resistance of copper conductors drastically
drops. Especially, the effect of resistance dropping to zero is clearly observed along
with a simultaneous increase in the number of elements in the N bunch and under the
influence of the frequency f.
EXAMPLE 1
[0059] A conductor for current-conducting circuits, contact pads, electrodes and current-conducting
buses in the electronic circuitry
[0060] A substrate (for example, electronic board, silicon monocrystal blank and the like)
is provided to which a current-conducting circuit or a contact pad, an electrode,
a current-conducting bus and the like has to be applied.
[0061] Copper is applied to the substrate by masking technique or any other method, for
example, a film-based current-conducting circuit or a contact pad with any selected
configuration such as in the form of thin stripes (combs) or grids whose effective
length corresponds to (or is less than) the SCZ lateral dimension is applied by diffusion
sputtering or thermal evaporation. Since the SCZ lateral dimension for copper is 3
mm, the SPZ size should be predetermined for other chemical elements, for example,
aluminium according to the above statistical technique. The thickness of each copper
monolayer should be for example of 400 nm. Other thickness values are also possible.
All monolayers should be identical, i.e., belong to a single type. Therefore, when
copper is used the length of an elementary conductor working part does not exceed
3 mm (i.e., the lateral dimension of a superconducting zone or cluster). Each copper
layer of the film is oxidized by any known method, for example, by electrothermal
annealing.
[0062] Meanwhile, a thin oxide layer of CuO, Cu
2O or CuO
2 which in turn forms a SCZ is created on the copper wire. On top of the oxide film,
a second copper layer is applied which is also oxidized. This cycle is repeated N
times (in case of the superconducting circuit the cycle is repeated N>100 times, if
the circuit is just a low-resistance circuit rather than a superconducting one, the
cycle is repeated N<100). As a result, a multilayer stack (or a bunch) is formed with
a thin oxide interlayer. The resistance R of such multilayer bunch is defined and
calculated using formula 1 or 2 depending on the purpose of the superconducting circuit.
The multilayer copper conductor described above has limited linear dimensions (not
exceeding the SCZ lateral dimension, i.e., 3 mm). In order to increase the extension
of the thus produced conductor, a number of identical multilayer (bunched) elementary
links are added thereto by the same layer-by-layer method until the required size
is obtained so that a bunched or multilayer (of N layers) long-length chain-type conductor
of Z elementary circuit links is formed. However, a tetragonal (square) configuration
of the elementary link is possible rather than a strip-like one. In this case, the
conductor linear dimensions are increased by adding an elementary square bunched link
to each of the four sides.
[0063] In case of a six-sided (hexagonal, honeycomb) configuration of the multilayer elementary
conductor link, if the links are added to each of the six polygon sides, a multilayer
superconducting material with a honeycomb structure is obtained.
EXAMPLE 2
A long-length conductor
[0064] A wire of different length and thickness is provided. The SCZ size is determined
by experimentally constructing the distribution functions for different lengths and
thicknesses. Let us consider an example with the copper wire.
[0065] N>100 copper wires less than 20 µm in thickness is provided. Each wire is oxidized
by thermal annealing of a layer of CuO, Cu
2O or CuO
2 less than 1 µm in thickness. Then, a long-length twisted article of N>100 wires coated
with the oxide layer is formed with a linear-point contact and a lay pitch equal to
the SCZ lateral dimension, i.e., equal to 3 mm for copper. The resistance R of such
long-length conductor is defined and controlled by relationship (1) and (2) based
on the N number of the bunch constituent elements.
EXAMPLE 3
Superconducting p-n junctions in semiconductor devices
[0066] A semiconductor substrate with n- or p-type conductivity is provided. N number of
p-n junctions with adjacent diffusion regions is formed on the substrate depending
on the purpose of the device. The geometry of junctions is reduced to an infinitesimal
value (in other words, point-contact junctions are obtained) and the N number of N
p-n junctions is increased to infinitesimal values. Then, the N number of p-n junctions
within semiconductor device internal structure is combined into a parallel circuit
using superconducting electrodes or bus to form a current unit.
[0067] The internal resistance of p-n junctions in such bunched semiconductor devices is
equal or tends to zero.
[0068] In conclusion, it should be noted that the above examples have been provided only
to enable a better understanding of the essence of invention as well as its advantages
and by no means embrace all possible particular embodiments thereof.
Industrial applicability
[0069] The present invention will find application in the production of polymeric conductors
as well as in various current-conducting circuits for electric diagrams, power transmission
cables, oscillating circuits, inductance coils, windings for motors, transformers,
generators.